We will consider Taylor's Theorem in the context of iterated fractional differential equations. In this setting, the theorem will be proven using the variation of constants formula, where we use an approach similar to that used for integer-order derivatives found in [1]}. With this in mind, we begin this note with a general higher-order equation. For \(n\in \mbox{N}_0\)  and continuous functions \(p_i:[0,\infty )\rightarrow \mbox{R}\) , \(1\le i\le n\) , we consider the higher-order linear \(\alpha \) -fractional differential equation
\(Ly=0,\quad \mbox{ where }\quad Ly = D^n_{\alpha }y+\sum _{i=1}^n p_i D^{n-i}_{\alpha }y,\) 
